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This is a chance to see if the students have understood the concept of tesselations.
Questions and Answers
1.
What is a tessellation?
A.
A picture
B.
A pattern with no gaps or overlaps
C.
Tiles on the floor
D.
Shapes all put together
Correct Answer B. A pattern with no gaps or overlaps
Explanation A tessellation is a pattern that is created by repeating a shape without any gaps or overlaps. This means that the shapes fit together perfectly, like puzzle pieces, to cover a surface. This pattern can be seen in various forms such as tiles on the floor or in a picture where shapes are all put together to form a larger design.
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2.
What is a polygon?
A.
Shapes
B.
Circles
C.
A closed figure made by joining line segments
Correct Answer C. A closed figure made by joining line segments
Explanation A polygon is a closed figure made by joining line segments. It is a shape that is formed by connecting multiple straight lines together to create a closed shape. This closed shape does not have any openings or holes and is made up of line segments that connect at their endpoints. Examples of polygons include triangles, squares, rectangles, pentagons, and hexagons. Circles, on the other hand, are not considered polygons as they are not made up of straight line segments.
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3.
What is a plane?
A.
2-dimentional surface
B.
A square
C.
A box
D.
Means of transporation
Correct Answer A. 2-dimentional surface
Explanation A plane refers to a two-dimensional surface, meaning it has length and width but no depth. It can be visualized as an infinitely large and flat sheet that extends in all directions. In mathematics, a plane is represented by a coordinate system with two axes, usually labeled x and y. It is often used as a reference for geometric shapes and calculations in geometry and physics.
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4.
Is the picture above a tessellation?
A.
No
B.
Yes
Correct Answer B. Yes
Explanation The picture above is a tessellation because it is a repeating pattern of shapes that completely covers the plane without any gaps or overlaps.
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5.
What is a vertex?
A.
The end of the line
B.
Common endpoint of two or more rays or line segments
C.
A triangle
Correct Answer B. Common endpoint of two or more rays or line segments
Explanation A vertex is defined as the common endpoint of two or more rays or line segments. It is the point where these lines or segments meet or intersect. In geometry, a vertex is often represented as a dot or a point. It is an important concept in understanding the structure and properties of geometric shapes and figures.
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6.
Tesselations are _________ patterns.
Correct Answer repeated
Explanation Tessellations are patterns that are repeated. A tessellation is created by fitting together identical shapes without any gaps or overlaps. The shapes can be repeated in a regular or irregular manner to form a pattern that extends infinitely. This repetition is what defines a tessellation, making "repeated" the correct answer.
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7.
When do tessellations stop?
A.
They continue forever
B.
After the page
C.
When the plane is full
Correct Answer A. They continue forever
Explanation Tessellations are patterns that can be repeated indefinitely, without any gaps or overlaps. This means that they can continue infinitely in all directions, without ever stopping. Therefore, the correct answer is "they continue forever."
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8.
What does it mean when two figures are adjacent?
A.
They are repeated
B.
They overlap eachother
C.
Two sides meet to make an angle
Correct Answer C. Two sides meet to make an angle
Explanation When two figures are adjacent, it means that they share a common side or edge and the two sides meet to form an angle. In other words, the figures are positioned next to each other in such a way that their sides come together at a point, creating an angle between them. This concept is commonly used in geometry to describe the relationship between two figures that are in close proximity to each other.
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9.
Is the picture above a tessellation?
A.
No
B.
Yes
Correct Answer A. No
Explanation The picture above is not a tessellation because a tessellation is a pattern of shapes that fit together perfectly with no gaps or overlaps. In the given picture, there are gaps between the shapes, indicating that it does not meet the criteria of a tessellation.
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10.
Is the picture above a tesselation?
A.
No
B.
Yes
Correct Answer B. Yes
Explanation The given answer is "Yes" because a tessellation is a pattern of shapes that fit together without any gaps or overlaps. Based on the information provided, we cannot see the picture above, so we cannot determine if it is a tessellation or not.
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